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From what I read here and my own limited experience, winning a game when you have a leaver on your team is pretty unlikely.

But I want to see some statistics first:

In a 4v5, how likely is a win? Closer to 1:5 or closer to 1:100?
How about a 3v5? Closer to 1:100 or closer to 1:1000000?

If leavers almost certainly make you lose, you should have at least the option to surrender early.
If there is a reasonable chance, lets say similar to Summoner's Rift, surrender is not needed in such a short game.

It's a dumb idea to want to surrender based on leavers. I faced a team that had a leaver and we won in 6 minutes. Just stay in your base and you will lose fast enough. If you could surrender before 6 minutes in, why wouldnt people just start up a game and surrender right away and get like 20-30 IP?

29% of people voting here should just stop playing the game completely.. That's what forfeiting is all about anyways.. "Not wanting to play the game" so then stop playing already.. There's your life long forfeit that you wanted..

I have personally lost a game where someone from enemy team disconnected for 10 minutes..

Also the whole surrender thing on summoner's rift is really freaking annoying, it's more of an nuisance when you try to focus to fighting and then someone who died during the team fight wants to surrender while rest of the team is still fighting, and the surrender thingy pops up to annoy you..